Result: Some families of generalized elliptic-type integrals

Title:
Some families of generalized elliptic-type integrals
Authors:
S. Bromberg, Hari M. Srivastava
Source:
Mathematical and Computer Modelling. 21:29-38
Publisher Information:
Elsevier BV, 1995.
Publication Year:
1995
Subject Terms:
Classical hypergeometric functions, \({}_2F_1\), Elliptic functions and integrals, Modelling and Simulation, Elliptic integrals as hypergeometric functions, elliptic-type integrals, 0101 mathematics, 01 natural sciences, Computer Science Applications
Document Type:
Academic journal Article
File Description:
application/xml
Language:
English
ISSN:
0895-7177
DOI:
10.1016/0895-7177(94)00212-7
Access URL:
https://zbmath.org/749340
https://doi.org/10.1016/0895-7177(94)00212-7
https://dspace.library.uvic.ca/handle/1828/2638
https://www.sciencedirect.com/science/article/pii/0895717794002127
Rights:
Elsevier Non-Commercial
Accession Number:
edsair.doi.dedup.....16cda062913b393ae20e0b173f7476a4
Database:
OpenAIRE

Further Information

The object of the present paper is first to point out a hitherto unnoticed relationship between two seemingly different families of generalized elliptic-type integrals which were studied recently. This relationship and some other simple techniques are then employed in order to derive many properties (including, for example, analytic continuations and asymptotic behaviors) of these families. Several interesting special cases, involving simpler elliptic-type integrals, are also considered.